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<title>线性回归与曲线分离 - Jupyter Notebook</title>
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) 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 <div id=notebook tabindex=-1><div class=container id=notebook-container><div class="cell text_cell rendered unselected" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p><strong></strong><div style=text-align:center><strong><font color=#dc2624 face=微软雅黑 size=6>线性回归与曲线分离</font></strong></div><p></p>
</div></div></div><div class="cell code_cell rendered unselected" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[1]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:22.4px;left:523.2px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:526.2px;margin-bottom:-16px;border-right-width:34px;min-height:45px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors style=visibility:hidden><div class=CodeMirror-cursor style=left:523.2px;top:16.8px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>from</span> <span class=cm-variable>IPython</span>.<span class=cm-property>core</span>.<span class=cm-property>interactiveshell</span> <span class=cm-keyword>import</span> <span class=cm-variable>InteractiveShell</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>InteractiveShell</span>.<span class=cm-property>ast_node_interactivity</span> <span class=cm-operator>=</span> <span class=cm-string>"all"</span> <span class=cm-comment># 代码块显示所有执行结果</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:45px"></div><div class=CodeMirror-gutters style=display:none;height:79px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell rendered unselected" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p><strong></strong><div style=text-align:left><strong><font color=black face=微软雅黑 size=6>引言</font><a name=top></a></strong></div><p></p>
<ul>
<li>通过线性回归，分别对每个国家人均预期寿命建模。</li>
<li>然后通过分析残差，提出来筛选<span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-3-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-11 style=width:1.432em;display:inline-block><span style=display:inline-block;position:relative;width:1.193em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.134em,1001.19em,2.324em,-999.997em);top:-2.14em;left:0em><span class=mrow id=MathJax-Span-12><span class=msubsup id=MathJax-Span-13><span style=display:inline-block;position:relative;width:1.193em;height:0px><span style=position:absolute;clip:rect(3.158em,1000.72em,4.17em,-999.997em);top:-3.985em;left:0em><span class=mi id=MathJax-Span-14 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:3.991em></span></span><span style=position:absolute;top:-4.342em;left:0.717em><span class=mn id=MathJax-Span-15 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:3.991em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.146em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.068em;border-left:0px solid;width:0px;height:1.146em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>较小或RMSE较大的模型，及对应的国家和数据。</li>
<li><span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-4-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-16 style=width:1.432em;display:inline-block><span style=display:inline-block;position:relative;width:1.193em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.134em,1001.19em,2.324em,-999.997em);top:-2.14em;left:0em><span class=mrow id=MathJax-Span-17><span class=msubsup id=MathJax-Span-18><span style=display:inline-block;position:relative;width:1.193em;height:0px><span style=position:absolute;clip:rect(3.158em,1000.72em,4.17em,-999.997em);top:-3.985em;left:0em><span class=mi id=MathJax-Span-19 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:3.991em></span></span><span style=position:absolute;top:-4.342em;left:0.717em><span class=mn id=MathJax-Span-20 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:3.991em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.146em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.068em;border-left:0px solid;width:0px;height:1.146em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>(拟合优度)低就就表示模型质量差，曲线波动剧烈。RMSE较大就表示误差较大。</li>
<li>通过对模型斜率正负的判断，可以将上升趋势和下降趋势的曲线给分离出来，分别建模，提高模型质量，绘图也更加美观，避免曲线交叉。</li>
</ul>
</div></div></div><div class="cell text_cell rendered selected" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1><h1 id=Table-of-Contents>Table of Contents<span class="tocSkip sf-hidden"></span><a class=anchor-link href=#Table-of-Contents>¶</a></h1>
<div class=toc><ul class=toc-item><li><span><i class="fa fa-fw"></i><a href=#%E9%9C%80%E8%A6%81%E7%9A%84%E5%8C%85 data-toc-modified-id=需要的包-1><span class=toc-item-num>1&nbsp;&nbsp;</span>需要的包</a></span><li><span><i class="fa fa-fw"></i><a href=#%E6%95%B0%E6%8D%AE%E9%9B%86 data-toc-modified-id=数据集-2><span class=toc-item-num>2&nbsp;&nbsp;</span>数据集</a></span><li><span><i class="fa fa-fw"></i><a href=#EDA data-toc-modified-id=EDA-3><span class=toc-item-num>3&nbsp;&nbsp;</span>EDA</a></span><li><span><i class="fa fa-fw fa-caret-down"></i><a href=#%E5%9B%9E%E5%BD%92%E6%A8%A1%E5%9E%8B data-toc-modified-id=回归模型-4><span class=toc-item-num>4&nbsp;&nbsp;</span>回归模型</a></span><ul class=toc-item><li><span><i class="fa fa-fw"></i><a href=#%E6%AE%8B%E5%B7%AE%E5%88%86%E6%9E%90 data-toc-modified-id=残差分析-4.1><span class=toc-item-num>4.1&nbsp;&nbsp;</span>残差分析</a></span><li><span><i class="fa fa-fw"></i><a href=#$R^2$%E5%88%86%E6%9E%90 data-toc-modified-id=$R^2$分析-4.2><span class=toc-item-num>4.2&nbsp;&nbsp;</span><span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-10-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-46 style=width:1.432em;display:inline-block><span style=display:inline-block;position:relative;width:1.193em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.134em,1001.19em,2.324em,-999.997em);top:-2.14em;left:0em><span class=mrow id=MathJax-Span-47><span class=msubsup id=MathJax-Span-48><span style=display:inline-block;position:relative;width:1.193em;height:0px><span style=position:absolute;clip:rect(3.158em,1000.72em,4.17em,-999.997em);top:-3.985em;left:0em><span class=mi id=MathJax-Span-49 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:3.991em></span></span><span style=position:absolute;top:-4.342em;left:0.717em><span class=mn id=MathJax-Span-50 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:3.991em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.146em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.068em;border-left:0px solid;width:0px;height:1.146em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>分析</a></span><li><span><i class="fa fa-fw"></i><a href=#RMSE%E5%88%86%E6%9E%90 data-toc-modified-id=RMSE分析-4.3><span class=toc-item-num>4.3&nbsp;&nbsp;</span>RMSE分析</a></span></ul><li><span><i class="fa fa-fw"></i><a href=#%E6%96%9C%E7%8E%87%E4%B8%8E%E8%B6%8B%E5%8A%BF data-toc-modified-id=斜率与趋势-5><span class=toc-item-num>5&nbsp;&nbsp;</span>斜率与趋势</a></span></ul></div></div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h1 id=需要的包 data-toc-modified-id=需要的包-1><a class=toc-mod-link id=需要的包-1></a><span class=toc-item-num>1&nbsp;&nbsp;</span>需要的包<a class=anchor-link href=#%E9%9C%80%E8%A6%81%E7%9A%84%E5%8C%85>¶</a></h1>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[2]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.60004px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true style=bottom:0px></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:778.2px;margin-bottom:-16px;border-right-width:34px;min-height:213px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 数据处理</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>import</span> <span class=cm-variable>numpy</span> <span class=cm-keyword>as</span> <span class=cm-variable>np</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>import</span> <span class=cm-variable>pandas</span> <span class=cm-keyword>as</span> <span class=cm-variable>pd</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span cm-text>​</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 绘图</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>from</span> <span class=cm-variable>lets_plot</span> <span class=cm-keyword>import</span> <span class=cm-variable>LetsPlot</span>, <span class=cm-variable>ggplot</span>, <span class=cm-variable>aes</span>, <span class=cm-variable>geom_line</span>, <span class=cm-variable>geom_point</span>, <span class=cm-variable>geom_boxplot</span>, <span class=cm-variable>geom_smooth</span>, <span class=cm-variable>geom_jitter</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>from</span> <span class=cm-variable>lets_plot</span> <span class=cm-keyword>import</span> <span class=cm-variable>scale_color_brewer</span>, <span class=cm-variable>facet_wrap</span>, <span class=cm-variable>ggsize</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>LetsPlot</span>.<span class=cm-property>setup_html</span>() <span class=cm-comment># 默认开启JS交互模式</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># LetsPlot.setup_html(no_js=True) # 关闭JS交互模式</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span cm-text>​</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 建模</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>import</span> <span class=cm-variable>statsmodels</span>.<span class=cm-property>formula</span>.<span class=cm-property>api</span> <span class=cm-keyword>as</span> <span class=cm-variable>smf</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:213px"></div><div class=CodeMirror-gutters style=display:none;height:247px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class=prompt></div><div class="output_subarea output_html rendered_html" dir=auto>
 <div id=Uyr046></div>
 
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h1 id=数据集 data-toc-modified-id=数据集-2><a class=toc-mod-link id=数据集-2></a><span class=toc-item-num>2&nbsp;&nbsp;</span>数据集<a class=anchor-link href=#%E6%95%B0%E6%8D%AE%E9%9B%86>¶</a></h1>
<p>gapminder数据集，包含世界上大部分国家的GDP历史数据，人口数量，和人口预期寿命。来自R</p>
<pre><code class="cm-s-ipython language-R"><span class=cm-variable>library</span>(<span class=cm-variable>gapminder</span>)
<span class=cm-variable>str</span>(<span class=cm-variable>gapminder</span>)
<span class=cm-variable>write.csv</span>(<span class=cm-variable>gapminder</span>, <span class=cm-variable>file</span><span class=cm-operator>=</span><span class=cm-string>'</span><span class=cm-string>./gapminder.csv'</span>, <span class=cm-variable>na</span><span class=cm-operator>=</span><span class=cm-string>'</span><span class=cm-string>NA'</span>, <span class=cm-variable>row.names</span> <span class=cm-operator>=</span> <span class=cm-variable>F</span>)</code></pre>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[3]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59998px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:339px;margin-bottom:-16px;border-right-width:34px;min-height:78px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span> <span class=cm-operator>=</span> <span class=cm-variable>pd</span>.<span class=cm-property>read_csv</span>(<span class=cm-string>'./gapminder.csv'</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>.<span class=cm-property>shape</span> <span class=cm-comment># 1.7k行</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>.<span class=cm-property>head</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>.<span class=cm-property>dtypes</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:78px"></div><div class=CodeMirror-gutters style=display:none;height:112px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[3]:</bdi></div><div class="output_subarea output_text output_result" dir=auto><pre>(1704, 6)</pre></div></div><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[3]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>country</th>
 <th>continent</th>
 <th>year</th>
 <th>lifeExp</th>
 <th>pop</th>
 <th>gdpPercap</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Afghanistan</td>
 <td>Asia</td>
 <td>1952</td>
 <td>28.801</td>
 <td>8425333</td>
 <td>779.445314</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Afghanistan</td>
 <td>Asia</td>
 <td>1957</td>
 <td>30.332</td>
 <td>9240934</td>
 <td>820.853030</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Afghanistan</td>
 <td>Asia</td>
 <td>1962</td>
 <td>31.997</td>
 <td>10267083</td>
 <td>853.100710</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Afghanistan</td>
 <td>Asia</td>
 <td>1967</td>
 <td>34.020</td>
 <td>11537966</td>
 <td>836.197138</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Afghanistan</td>
 <td>Asia</td>
 <td>1972</td>
 <td>36.088</td>
 <td>13079460</td>
 <td>739.981106</td>
 </tr>
 </tbody>
</table>
</div></div></div><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[3]:</bdi></div><div class="output_subarea output_text output_result" dir=auto><pre>country       object
continent     object
year           int64
lifeExp      float64
pop            int64
gdpPercap    float64
dtype: object</pre></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[4]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:590.2px;margin-bottom:-16px;border-right-width:34px;min-height:62px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>.<span class=cm-property>isna</span>().<span class=cm-property>any</span>(<span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>0</span>) <span class=cm-comment># 查看缺失值</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># gapminder_df1.isna().sum(axis=0) # 缺失值数量</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># gapminder_df1.isna().agg(lambda x: x.sum(axis=0)/x.shape[0] * 100) # 缺失值比例</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:62px"></div><div class=CodeMirror-gutters style=display:none;height:96px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[4]:</bdi></div><div class="output_subarea output_text output_result" dir=auto><pre>country      False
continent    False
year         False
lifeExp      False
pop          False
gdpPercap    False
dtype: bool</pre></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[5]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59998px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:295.8px;margin-bottom:-16px;border-right-width:34px;min-height:45px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 统计数字变量分布</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>.<span class=cm-property>describe</span>(<span class=cm-variable>include</span><span class=cm-operator>=</span><span class=cm-string>'number'</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:45px"></div><div class=CodeMirror-gutters style=display:none;height:79px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[5]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>year</th>
 <th>lifeExp</th>
 <th>pop</th>
 <th>gdpPercap</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>count</th>
 <td>1704.00000</td>
 <td>1704.000000</td>
 <td>1.704000e+03</td>
 <td>1704.000000</td>
 </tr>
 <tr>
 <th>mean</th>
 <td>1979.50000</td>
 <td>59.474439</td>
 <td>2.960121e+07</td>
 <td>7215.327081</td>
 </tr>
 <tr>
 <th>std</th>
 <td>17.26533</td>
 <td>12.917107</td>
 <td>1.061579e+08</td>
 <td>9857.454543</td>
 </tr>
 <tr>
 <th>min</th>
 <td>1952.00000</td>
 <td>23.599000</td>
 <td>6.001100e+04</td>
 <td>241.165876</td>
 </tr>
 <tr>
 <th>25%</th>
 <td>1965.75000</td>
 <td>48.198000</td>
 <td>2.793664e+06</td>
 <td>1202.060309</td>
 </tr>
 <tr>
 <th>50%</th>
 <td>1979.50000</td>
 <td>60.712500</td>
 <td>7.023596e+06</td>
 <td>3531.846988</td>
 </tr>
 <tr>
 <th>75%</th>
 <td>1993.25000</td>
 <td>70.845500</td>
 <td>1.958522e+07</td>
 <td>9325.462346</td>
 </tr>
 <tr>
 <th>max</th>
 <td>2007.00000</td>
 <td>82.603000</td>
 <td>1.318683e+09</td>
 <td>113523.132900</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[6]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59985px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:424.6px;margin-bottom:-16px;border-right-width:34px;min-height:146px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>gapminder_df1</span>[[<span class=cm-string>'country'</span>, <span class=cm-string>'continent'</span>]].<span class=cm-property>agg</span>(<span class=cm-string>'nunique'</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span cm-text>​</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 每个大洲有多少个国家</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>(<span class=cm-variable>gapminder_df1</span>[[<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>]].<span class=cm-property>drop_duplicates</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>set_index</span>(<span class=cm-string>'continent'</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>groupby</span>(<span class=cm-variable>level</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>)[<span class=cm-string>'country'</span>]</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>count</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:146px"></div><div class=CodeMirror-gutters style=display:none;height:180px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[6]:</bdi></div><div class="output_subarea output_text output_result" dir=auto><pre>country      142
continent      5
dtype: int64</pre></div></div><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[6]:</bdi></div><div class="output_subarea output_text output_result" dir=auto><pre>continent
Africa      52
Americas    25
Asia        33
Europe      30
Oceania      2
Name: country, dtype: int64</pre></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h1 id=EDA data-toc-modified-id=EDA-3><a class=toc-mod-link id=EDA-3></a><span class=toc-item-num>3&nbsp;&nbsp;</span>EDA<a class=anchor-link href=#EDA>¶</a></h1>
<p>这里我们需要分析人口预期寿命(<code>lifeExp</code>)与时间(<code>year</code>)和国家(<code>country</code>)之间的关系。首先进行EDA</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[7]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59985px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:499px;margin-bottom:-16px;border-right-width:34px;min-height:62px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>gapminder_df1</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'lifeExp'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>1</span><span class=cm-operator>/</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>800</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:62px"></div><div class=CodeMirror-gutters style=display:none;height:96px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[7]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=7TwfHI><svg shape-rendering=geometricPrecision class=plt-container width=800 height=400><style>.plt-container{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}</style><rect class=plt-backdrop width=100% height=100%></rect><g class=plt-plot><g transform="translate(23 10 ) "><g transform="translate(22.519876033057855 347 ) " class=plt-axis><line x1=9.229092445872084 y1=0 x2=9.229092445872084 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=70.75637541834658 y1=0 x2=70.75637541834658 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=132.28365839082107 y1=0 x2=132.28365839082107 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=193.81094136329557 y1=0 x2=193.81094136329557 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=255.33822433577006 y1=0 x2=255.33822433577006 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=316.86550730824456 y1=0 x2=316.86550730824456 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=378.39279028071905 y1=0 x2=378.39279028071905 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=439.92007325319355 y1=0 x2=439.92007325319355 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=501.44735622566805 y1=0 x2=501.44735622566805 y2=-347 stroke=rgb(233,233,233) 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L95.36728860733638 187.57152673778666 L156.89457157981087 177.47231928806065 L218.42185455228537 168.72038567493115 L279.94913752475986 159.95241308755647 L341.47642049723436 149.05125692557056 L403.00370346970885 134.67498967712515 L464.53098644218335 124.04649607730755 L526.0582694146578 134.6001411306475 L587.5855523871323 207.1390753169277 L649.1128353596068 243.60101010101016 L710.6401183320813 224.89956613110976 " fill=none stroke-width=1 stroke=rgb(65,105,225) stroke-opacity=0.3333333333333333></path></g></g></g><g class=plt-axis><g transform="translate(4 183.5 ) rotate(-90 ) " class=plt-axis-title><text text-anchor=middle dy=0.7em style=fill:#474747>lifeExp</text></g></g><g class=plt-axis><g transform="translate(417.75993801652896 396 ) " class=plt-axis-title><text text-anchor=middle style=fill:#474747>year</text></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[8]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59985px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:499px;margin-bottom:-16px;border-right-width:34px;min-height:78px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>gapminder_df1</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'lifeExp'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>1</span><span class=cm-operator>/</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>facet_wrap</span>(<span class=cm-string>'continent'</span>, <span class=cm-variable>ncol</span><span class=cm-operator>=</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>900</span>, <span class=cm-number>500</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:78px"></div><div class=CodeMirror-gutters style=display:none;height:112px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[8]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=Tr5xCb><svg shape-rendering=geometricPrecision 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stroke-width=1></line><line x1=0 y1=132.29886109416313 x2=275.5266666666667 y2=132.29886109416313 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=103.25614596236929 x2=275.5266666666667 y2=103.25614596236929 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=74.21343083057542 x2=275.5266666666667 y2=74.21343083057542 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=45.17071569878158 x2=275.5266666666667 y2=45.17071569878158 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=16.128000566987737 x2=275.5266666666667 y2=16.128000566987737 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><g class=tick transform="translate(0 161.34157622595697 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>30</text></g></g><g class=tick transform="translate(0 132.29886109416313 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>40</text></g></g><g class=tick transform="translate(0 103.25614596236929 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>50</text></g></g><g class=tick transform="translate(0 74.21343083057542 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>60</text></g></g><g class=tick transform="translate(0 45.17071569878158 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>70</text></g></g><g class=tick transform="translate(0 16.128000566987737 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>80</text></g></g></g><g transform="translate(20.42 30 ) " clip-path=url(#srckpt) clip-bounds-jfx="[rect (0, 0), (275.5266666666667, 188.5)]"><defs><clippath id=srckpt><rect x=0 y=0 width=275.5266666666667 height=188.5></rect></clippath></defs><g><path d="M12.523939393939145 123.36241764811017 L12.523939393939145 123.36241764811017 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 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>看起来波动剧烈的曲线大部分都发生在亚洲和非洲。</p>
</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h1 id=回归模型 data-toc-modified-id=回归模型-4><a class=toc-mod-link id=回归模型-4></a><span class=toc-item-num>4&nbsp;&nbsp;</span>回归模型<a class=anchor-link href=#%E5%9B%9E%E5%BD%92%E6%A8%A1%E5%9E%8B>¶</a></h1>
</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>  这个数据集只有1704个观测值和3个变量，但是仍然非常复杂，很难抓住脉络。 比如大多数国家的人口预期寿命都随时间而延长，但是有几个国家不符合这种模式，通过对每个国家的数据进行建模，然后筛选出<span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-5-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-21 style=width:1.432em;display:inline-block><span style=display:inline-block;position:relative;width:1.193em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.134em,1001.19em,2.324em,-999.997em);top:-2.14em;left:0em><span class=mrow id=MathJax-Span-22><span class=msubsup id=MathJax-Span-23><span style=display:inline-block;position:relative;width:1.193em;height:0px><span style=position:absolute;clip:rect(3.158em,1000.72em,4.17em,-999.997em);top:-3.985em;left:0em><span class=mi id=MathJax-Span-24 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:3.991em></span></span><span style=position:absolute;top:-4.342em;left:0.717em><span class=mn id=MathJax-Span-25 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:3.991em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.146em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.068em;border-left:0px solid;width:0px;height:1.146em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>小或RMSE较大的国家，就能找到波动剧烈的曲线。</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[9]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:373.4px;margin-bottom:-16px;border-right-width:34px;min-height:45px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-keyword>def</span> <span class=cm-def>country_model</span>(<span class=cm-variable>df</span>, <span class=cm-variable>formula</span>):</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>    <span class=cm-keyword>return</span> <span class=cm-variable>smf</span>.<span class=cm-property>ols</span>(<span class=cm-variable>formula</span><span class=cm-operator>=</span><span class=cm-variable>formula</span>, <span class=cm-variable>data</span><span class=cm-operator>=</span><span class=cm-variable>df</span>).<span class=cm-property>fit</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:45px"></div><div class=CodeMirror-gutters style=display:none;height:79px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[10]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59985px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:779.8px;margin-bottom:-16px;border-right-width:34px;min-height:95px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span> <span class=cm-operator>=</span> <span class=cm-variable>pd</span>.<span class=cm-property>DataFrame</span>(<span class=cm-builtin>list</span>(<span class=cm-variable>gapminder_df1</span>.<span class=cm-property>groupby</span>(<span class=cm-variable>by</span><span class=cm-operator>=</span>[<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>])), <span class=cm-variable>columns</span><span class=cm-operator>=</span>[<span class=cm-string>'country'</span>, <span class=cm-string>'data'</span>])</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'continent'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'country'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>[<span class=cm-number>0</span>])</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'country'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'country'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>[<span class=cm-number>1</span>])</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span> <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>, <span class=cm-string>'data'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:95px"></div><div class=CodeMirror-gutters style=display:none;height:129px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[10]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 <th>data</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Africa</td>
 <td>Algeria</td>
 <td>country continent year lifeExp pop...</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Africa</td>
 <td>Angola</td>
 <td>country continent year lifeExp pop ...</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Africa</td>
 <td>Benin</td>
 <td>country continent year lifeExp pop ...</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Africa</td>
 <td>Botswana</td>
 <td>country continent year lifeExp po...</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Africa</td>
 <td>Burkina Faso</td>
 <td>country continent year lifeExp ...</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>自变量(endogenous)为'year', 因变量(exogenous)为'lifeExp'。如果数据量很大，就需要使用joblib进行并行运算。</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[11]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:595.8px;margin-bottom:-16px;border-right-width:34px;min-height:62px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>%%</span><span class=cm-variable>time</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'data'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>country_model</span>(<span class=cm-variable>x</span>, <span class=cm-string>'lifeExp ~ year'</span>)) <span class=cm-comment># </span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:62px"></div><div class=CodeMirror-gutters style=display:none;height:96px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class=prompt></div><div class="output_subarea output_text output_stream output_stdout" dir=auto><pre>Wall time: 421 ms
</pre></div></div><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[11]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 <th>data</th>
 <th>mod</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Africa</td>
 <td>Algeria</td>
 <td>country continent year lifeExp pop...</td>
 <td>&lt;statsmodels.regression.linear_model.Regressio...</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Africa</td>
 <td>Angola</td>
 <td>country continent year lifeExp pop ...</td>
 <td>&lt;statsmodels.regression.linear_model.Regressio...</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Africa</td>
 <td>Benin</td>
 <td>country continent year lifeExp pop ...</td>
 <td>&lt;statsmodels.regression.linear_model.Regressio...</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Africa</td>
 <td>Botswana</td>
 <td>country continent year lifeExp po...</td>
 <td>&lt;statsmodels.regression.linear_model.Regressio...</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Africa</td>
 <td>Burkina Faso</td>
 <td>country continent year lifeExp ...</td>
 <td>&lt;statsmodels.regression.linear_model.Regressio...</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[12]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true style=bottom:0px></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:682.2px;margin-bottom:-16px;border-right-width:34px;min-height:230px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'pred'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>fittedvalues</span>) <span class=cm-comment># 预测值</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'resid'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>resid</span>) <span class=cm-comment># 残差</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'rsquared'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>rsquared</span>) <span class=cm-comment># R方</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'rsquared_adj'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>rsquared_adj</span>) <span class=cm-comment># 调整R方</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'f_pvalue'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>f_pvalue</span>) <span class=cm-comment># f统计量p值</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'Intercept'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>params</span>[<span class=cm-string>'Intercept'</span>]) <span class=cm-comment># 截距</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'slope'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>params</span>[<span class=cm-string>'year'</span>]) <span class=cm-comment># 斜率/系数</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'BIC'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>bic</span>) <span class=cm-comment># BIC信息量</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'AIC'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>aic</span>) <span class=cm-comment># AIC信息量</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'RMSE'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>mse_resid</span>) <span class=cm-comment># mean squared error of the residuals</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>[<span class=cm-string>'MSE'</span>] <span class=cm-operator>=</span> <span class=cm-variable>nest1</span>[<span class=cm-string>'mod'</span>].<span class=cm-property>map</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>.<span class=cm-property>mse_total</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>.<span class=cm-property>drop</span>(<span class=cm-string>'mod'</span>, <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>, <span class=cm-variable>inplace</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>nest1</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:230px"></div><div class=CodeMirror-gutters style=display:none;height:264px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[12]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 <th>data</th>
 <th>pred</th>
 <th>resid</th>
 <th>rsquared</th>
 <th>rsquared_adj</th>
 <th>f_pvalue</th>
 <th>Intercept</th>
 <th>slope</th>
 <th>BIC</th>
 <th>AIC</th>
 <th>RMSE</th>
 <th>MSE</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Africa</td>
 <td>Algeria</td>
 <td>country continent year lifeExp pop...</td>
 <td>24 43.374974
25 46.221373
26 49.06777...</td>
 <td>24 -0.297974
25 -0.536373
26 -0.764772
2...</td>
 <td>0.985117</td>
 <td>0.983629</td>
 <td>1.808143e-10</td>
 <td>-1067.859040</td>
 <td>0.569280</td>
 <td>43.554240</td>
 <td>42.584427</td>
 <td>1.750346</td>
 <td>106.917029</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Africa</td>
 <td>Angola</td>
 <td>country continent year lifeExp pop ...</td>
 <td>36 32.126654
37 33.173353
38 34.22005...</td>
 <td>36 -2.111654
37 -1.174353
38 -0.220052
3...</td>
 <td>0.887815</td>
 <td>0.876596</td>
 <td>4.593498e-06</td>
 <td>-376.504753</td>
 <td>0.209340</td>
 <td>45.031670</td>
 <td>44.061857</td>
 <td>1.979675</td>
 <td>16.042237</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Africa</td>
 <td>Benin</td>
 <td>country continent year lifeExp pop ...</td>
 <td>120 39.588513
121 41.259677
122 42.93...</td>
 <td>120 -1.365513
121 -0.901677
122 -0.31284...</td>
 <td>0.966602</td>
 <td>0.963262</td>
 <td>1.037138e-08</td>
 <td>-612.834044</td>
 <td>0.334233</td>
 <td>40.700602</td>
 <td>39.730789</td>
 <td>1.379899</td>
 <td>37.560727</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Africa</td>
 <td>Botswana</td>
 <td>country continent year lifeExp po...</td>
 <td>156 52.929115
157 53.232458
158 53.53...</td>
 <td>156 -5.307115
157 -3.614458
158 -2.01580...</td>
 <td>0.034023</td>
 <td>-0.062574</td>
 <td>5.660414e-01</td>
 <td>-65.495858</td>
 <td>0.060669</td>
 <td>80.283273</td>
 <td>79.313460</td>
 <td>37.358712</td>
 <td>35.158683</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Africa</td>
 <td>Burkina Faso</td>
 <td>country continent year lifeExp ...</td>
 <td>192 34.684692
193 36.504566
194 38.32...</td>
 <td>192 -2.709692
193 -1.598566
194 -0.51044...</td>
 <td>0.918711</td>
 <td>0.910582</td>
 <td>9.047506e-07</td>
 <td>-675.794166</td>
 <td>0.363975</td>
 <td>54.030559</td>
 <td>53.060746</td>
 <td>4.190584</td>
 <td>46.864865</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h2 id=残差分析 data-toc-modified-id=残差分析-4.1><a class=toc-mod-link id=残差分析-4.1></a><span class=toc-item-num>4.1&nbsp;&nbsp;</span>残差分析<a class=anchor-link href=#%E6%AE%8B%E5%B7%AE%E5%88%86%E6%9E%90>¶</a></h2>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[13]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:539px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># unnest列表列</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>resids_df</span> <span class=cm-operator>=</span> (<span class=cm-variable>nest1</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'data'</span>, <span class=cm-string>'resid'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>             .<span class=cm-property>apply</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>[<span class=cm-string>'data'</span>].<span class=cm-property>assign</span>(<span class=cm-variable>resid</span><span class=cm-operator>=</span><span class=cm-variable>x</span>[<span class=cm-string>'resid'</span>]), <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>             .<span class=cm-property>to_list</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>            )</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>resids_df</span> <span class=cm-operator>=</span> <span class=cm-variable>pd</span>.<span class=cm-property>concat</span>(<span class=cm-variable>resids_df</span>, <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>0</span>, <span class=cm-variable>ignore_index</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>resids_df</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[13]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>country</th>
 <th>continent</th>
 <th>year</th>
 <th>lifeExp</th>
 <th>pop</th>
 <th>gdpPercap</th>
 <th>resid</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Algeria</td>
 <td>Africa</td>
 <td>1952</td>
 <td>43.077</td>
 <td>9279525</td>
 <td>2449.008185</td>
 <td>-0.297974</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Algeria</td>
 <td>Africa</td>
 <td>1957</td>
 <td>45.685</td>
 <td>10270856</td>
 <td>3013.976023</td>
 <td>-0.536373</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Algeria</td>
 <td>Africa</td>
 <td>1962</td>
 <td>48.303</td>
 <td>11000948</td>
 <td>2550.816880</td>
 <td>-0.764772</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Algeria</td>
 <td>Africa</td>
 <td>1967</td>
 <td>51.407</td>
 <td>12760499</td>
 <td>3246.991771</td>
 <td>-0.507170</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Algeria</td>
 <td>Africa</td>
 <td>1972</td>
 <td>54.518</td>
 <td>14760787</td>
 <td>4182.663766</td>
 <td>-0.242569</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[14]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:341.4px;margin-bottom:-16px;border-right-width:34px;min-height:78px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>resids_df</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'resid'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>), <span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>1</span><span class=cm-operator>/</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_smooth</span>(<span class=cm-variable>method</span><span class=cm-operator>=</span><span class=cm-string>'loess'</span>, <span class=cm-variable>span</span><span class=cm-operator>=</span><span class=cm-number>0.3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>800</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:78px"></div><div class=CodeMirror-gutters style=display:none;height:112px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[14]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=RLJTH1><p style=color:darkblue class=lets-plot-message-info>LOESS drew a random sample with max_n=1000, seed=37 in [smooth/smooth stat] layer</p><svg shape-rendering=geometricPrecision class=plt-container width=800 height=400><style>.plt-container{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}</style><rect class=plt-backdrop width=100% height=100%></rect><g class=plt-plot><g transform="translate(23 10 ) "><g transform="translate(29.130000000000003 347 ) " class=plt-axis><line x1=9.14714876033031 y1=0 x2=9.14714876033031 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=70.12814049586814 y1=0 x2=70.12814049586814 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=131.10913223140597 y1=0 x2=131.10913223140597 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=192.09012396694015 y1=0 x2=192.09012396694015 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=253.07111570247798 y1=0 x2=253.07111570247798 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=314.0521074380158 y1=0 x2=314.0521074380158 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=375.03309917355364 y1=0 x2=375.03309917355364 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=436.01409090909146 y1=0 x2=436.01409090909146 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=496.9950826446293 y1=0 x2=496.9950826446293 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=557.9760743801635 y1=0 x2=557.9760743801635 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=618.9570661157013 y1=0 x2=618.9570661157013 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=679.9380578512391 y1=0 x2=679.9380578512391 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><g class=tick transform="translate(9.14714876033031 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,950</text></g></g><g class=tick transform="translate(70.12814049586814 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,955</text></g></g><g class=tick transform="translate(131.10913223140597 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,960</text></g></g><g class=tick transform="translate(192.09012396694015 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,965</text></g></g><g class=tick transform="translate(253.07111570247798 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,970</text></g></g><g class=tick transform="translate(314.0521074380158 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,975</text></g></g><g class=tick transform="translate(375.03309917355364 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,980</text></g></g><g class=tick transform="translate(436.01409090909146 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,985</text></g></g><g class=tick transform="translate(496.9950826446293 0 ) "><line stroke-width=1 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 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>按大洲分面</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[15]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:455.8px;margin-bottom:-16px;border-right-width:34px;min-height:78px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>resids_df</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'resid'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>1</span><span class=cm-operator>/</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>facet_wrap</span>(<span class=cm-string>'continent'</span>, <span class=cm-variable>ncol</span><span class=cm-operator>=</span><span class=cm-number>3</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>900</span>, <span class=cm-number>500</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:78px"></div><div class=CodeMirror-gutters style=display:none;height:112px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[15]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=4KDqUa><svg shape-rendering=geometricPrecision class=plt-container width=900 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text-anchor=end dy=0.35em>-10</text></g></g><g class=tick transform="translate(0 103.76574209195367 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>-5</text></g></g><g class=tick transform="translate(0 72.82829515620894 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>0</text></g></g><g class=tick transform="translate(0 41.89084822046421 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>5</text></g></g><g class=tick transform="translate(0 10.953401284719476 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>10</text></g></g></g><g transform="translate(29.130000000000003 30 ) " clip-path=url(#YGh8O9) clip-bounds-jfx="[rect (0, 0), (272.62333333333333, 188.5)]"><defs><clippath id=YGh8O9><rect x=0 y=0 width=272.62333333333333 height=188.5></rect></clippath></defs><g><path d="M12.391969696969682 74.6720083400016 L12.391969696969682 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stroke-opacity=0.3333333333333333></path></g><g><path d="M12.391969696969682 82.34354325862698 L12.391969696969682 82.34354325862698 L34.92282369146051 80.39234227842604 L57.453677685951334 70.33553020105997 L79.98453168044216 68.19870453924385 L102.51538567493117 66.86625249775777 L125.046239669422 67.32817237854492 L147.57709366391282 64.20134841478499 L170.10794765840365 69.1801355481908 L192.63880165289265 73.72579842449633 L215.16965564738348 74.99209192561212 L237.7005096418743 77.43400841028689 L260.23136363636513 78.9416139975022 " fill=none stroke-width=1 stroke=rgb(65,105,225) stroke-opacity=0.3333333333333333></path></g><g><path d="M12.391969696969682 71.25048536248748 L12.391969696969682 71.25048536248748 L34.92282369146051 72.49585822641006 L57.453677685951334 72.19435874354534 L79.98453168044216 72.4497333055241 L102.51538567493117 74.12823042654708 L125.046239669422 74.81672924562659 L147.57709366391282 73.89648082404699 L170.10794765840365 74.27560517376872 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stroke-opacity=0.3333333333333333></path></g></g></g><g transform="translate(334.75333333333333 238.5 ) "><g transform="translate(136.31166666666667 15 ) "><text style=fill:#474747 text-anchor=middle dy=0.35em>Oceania</text></g><g transform="translate(0 218.5 ) " class=plt-axis><line x1=48.44133608815537 y1=0 x2=48.44133608815537 y2=-188.5 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=138.56475206611685 y1=0 x2=138.56475206611685 y2=-188.5 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=228.68816804407834 y1=0 x2=228.68816804407834 y2=-188.5 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><g class=tick transform="translate(48.44133608815537 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,960</text></g></g><g class=tick transform="translate(138.56475206611685 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,980</text></g></g><g class=tick transform="translate(228.68816804407834 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>2,000</text></g></g><line x1=0 y1=0 x2=272.62333333333333 y2=0 stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1></line></g><g transform="translate(0 30 ) " class=plt-axis><line x1=0 y1=165.64063596344312 x2=272.62333333333333 y2=165.64063596344312 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=134.7031890276984 x2=272.62333333333333 y2=134.7031890276984 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=103.76574209195367 x2=272.62333333333333 y2=103.76574209195367 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 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72.51560338484501 L215.16965564738348 71.70268410609665 L237.7005096418743 69.21914269281768 L260.23136363636513 70.9121566158643 " fill=none stroke-width=1 stroke=rgb(65,105,225) stroke-opacity=0.3333333333333333></path></g><g><path d="M12.391969696969682 68.47801415632098 L12.391969696969682 68.47801415632098 L34.92282369146051 69.06028719606144 L57.453677685951334 68.96193640321525 L79.98453168044216 73.1948281813736 L102.51538567493117 76.87084591468853 L125.046239669422 80.79436322348946 L147.57709366391282 76.73601922286785 L170.10794765840365 79.73141312359648 L192.63880165289265 73.25994826198713 L215.16965564738348 71.67660001622549 L237.7005096418743 67.98950537883285 L260.23136363636513 67.185780795852 " fill=none stroke-width=1 stroke=rgb(65,105,225) stroke-opacity=0.3333333333333333></path></g></g></g><g class=plt-axis><g transform="translate(4 248.5 ) rotate(-90 ) " class=plt-axis-title><text text-anchor=middle dy=0.7em style=fill:#474747>resid</text></g></g><g class=plt-axis><g transform="translate(471.065 496 ) " class=plt-axis-title><text text-anchor=middle style=fill:#474747>year</text></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>从上图可以看出，波动剧烈的曲线几乎都发生在非洲和亚洲</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[16]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:367.8px;margin-bottom:-16px;border-right-width:34px;min-height:112px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 筛选残差绝对值大于等于5的所有国家</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>(<span class=cm-variable>resids_df</span>.<span class=cm-property>query</span>(<span class=cm-string>"resid &gt;= 5 or resid &lt;= -5"</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>reindex</span>([<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>drop_duplicates</span>(<span class=cm-variable>subset</span><span class=cm-operator>=</span>[<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>])</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px> .<span class=cm-property>reset_index</span>(<span class=cm-variable>drop</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:112px"></div><div class=CodeMirror-gutters style=display:none;height:146px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[16]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Africa</td>
 <td>Botswana</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Africa</td>
 <td>Central African Republic</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Africa</td>
 <td>Congo, Rep.</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Africa</td>
 <td>Cote d'Ivoire</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Africa</td>
 <td>Gabon</td>
 </tr>
 <tr>
 <th>5</th>
 <td>Africa</td>
 <td>Kenya</td>
 </tr>
 <tr>
 <th>6</th>
 <td>Africa</td>
 <td>Lesotho</td>
 </tr>
 <tr>
 <th>7</th>
 <td>Africa</td>
 <td>Namibia</td>
 </tr>
 <tr>
 <th>8</th>
 <td>Africa</td>
 <td>Rwanda</td>
 </tr>
 <tr>
 <th>9</th>
 <td>Africa</td>
 <td>South Africa</td>
 </tr>
 <tr>
 <th>10</th>
 <td>Africa</td>
 <td>Swaziland</td>
 </tr>
 <tr>
 <th>11</th>
 <td>Africa</td>
 <td>Uganda</td>
 </tr>
 <tr>
 <th>12</th>
 <td>Africa</td>
 <td>Zambia</td>
 </tr>
 <tr>
 <th>13</th>
 <td>Africa</td>
 <td>Zimbabwe</td>
 </tr>
 <tr>
 <th>14</th>
 <td>Asia</td>
 <td>Cambodia</td>
 </tr>
 <tr>
 <th>15</th>
 <td>Asia</td>
 <td>China</td>
 </tr>
 <tr>
 <th>16</th>
 <td>Asia</td>
 <td>Iraq</td>
 </tr>
 <tr>
 <th>17</th>
 <td>Asia</td>
 <td>Korea, Dem. Rep.</td>
 </tr>
 <tr>
 <th>18</th>
 <td>Asia</td>
 <td>Myanmar</td>
 </tr>
 <tr>
 <th>19</th>
 <td>Europe</td>
 <td>Bulgaria</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h2 id=$R^2$分析 data-toc-modified-id=$R^2$分析-4.2><a class=toc-mod-link id=$R^2$分析-4.2></a><span class=toc-item-num>4.2&nbsp;&nbsp;</span><span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-6-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-26 style=width:1.404em;display:inline-block><span style=display:inline-block;position:relative;width:1.177em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.177em,1001.18em,2.238em,-999.998em);top:-2.121em;left:0em><span class=mrow id=MathJax-Span-27><span class=msubsup id=MathJax-Span-28><span style=display:inline-block;position:relative;width:1.177em;height:0px><span style=position:absolute;clip:rect(3.262em,1000.72em,4.134em,-999.998em);top:-4.016em;left:0em><span class=mi id=MathJax-Span-29 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:4.02em></span></span><span style=position:absolute;top:-4.395em;left:0.76em><span class=mn id=MathJax-Span-30 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:4.02em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.125em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.043em;border-left:0px solid;width:0px;height:1.094em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>分析<a class=anchor-link href=#$R^2$%E5%88%86%E6%9E%90>¶</a></h2>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[17]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:800.6px;margin-bottom:-16px;border-right-width:34px;min-height:78px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>rsquared_df</span> <span class=cm-operator>=</span> (<span class=cm-variable>nest1</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'country'</span>, <span class=cm-string>'continent'</span>, <span class=cm-string>'rsquared'</span>, <span class=cm-string>'rsquared_adj'</span>, <span class=cm-string>'f_pvalue'</span>, <span class=cm-string>'RMSE'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>               .<span class=cm-property>sort_values</span>(<span class=cm-variable>by</span><span class=cm-operator>=</span><span class=cm-string>'rsquared'</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>              )</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>rsquared_df</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:78px"></div><div class=CodeMirror-gutters style=display:none;height:112px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[17]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>country</th>
 <th>continent</th>
 <th>rsquared</th>
 <th>rsquared_adj</th>
 <th>f_pvalue</th>
 <th>RMSE</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>38</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>0.017160</td>
 <td>-0.081124</td>
 <td>6.848927e-01</td>
 <td>43.010899</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Botswana</td>
 <td>Africa</td>
 <td>0.034023</td>
 <td>-0.062574</td>
 <td>5.660414e-01</td>
 <td>37.358712</td>
 </tr>
 <tr>
 <th>51</th>
 <td>Zimbabwe</td>
 <td>Africa</td>
 <td>0.056232</td>
 <td>-0.038145</td>
 <td>4.580290e-01</td>
 <td>51.918232</td>
 </tr>
 <tr>
 <th>50</th>
 <td>Zambia</td>
 <td>Africa</td>
 <td>0.059836</td>
 <td>-0.034180</td>
 <td>4.435318e-01</td>
 <td>20.509239</td>
 </tr>
 <tr>
 <th>45</th>
 <td>Swaziland</td>
 <td>Africa</td>
 <td>0.068211</td>
 <td>-0.024968</td>
 <td>4.122530e-01</td>
 <td>44.143949</td>
 </tr>
 <tr>
 <th>...</th>
 <td>...</td>
 <td>...</td>
 <td>...</td>
 <td>...</td>
 <td>...</td>
 <td>...</td>
 </tr>
 <tr>
 <th>99</th>
 <td>Pakistan</td>
 <td>Asia</td>
 <td>0.997250</td>
 <td>0.996975</td>
 <td>3.877363e-14</td>
 <td>0.162356</td>
 </tr>
 <tr>
 <th>137</th>
 <td>Switzerland</td>
 <td>Europe</td>
 <td>0.997391</td>
 <td>0.997130</td>
 <td>2.978930e-14</td>
 <td>0.046187</td>
 </tr>
 <tr>
 <th>119</th>
 <td>France</td>
 <td>Europe</td>
 <td>0.997625</td>
 <td>0.997387</td>
 <td>1.863068e-14</td>
 <td>0.048421</td>
 </tr>
 <tr>
 <th>30</th>
 <td>Mauritania</td>
 <td>Africa</td>
 <td>0.997674</td>
 <td>0.997442</td>
 <td>1.676077e-14</td>
 <td>0.166083</td>
 </tr>
 <tr>
 <th>54</th>
 <td>Brazil</td>
 <td>Americas</td>
 <td>0.998047</td>
 <td>0.997852</td>
 <td>6.990433e-15</td>
 <td>0.106430</td>
 </tr>
 </tbody>
</table>
<p>142 rows × 6 columns</p>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[18]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.6001px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:771.8px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># R方分布</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>rsquared_df</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_boxplot</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'rsquared'</span>),</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>               <span class=cm-variable>outlier_shape</span><span class=cm-operator>=</span><span class=cm-number>21</span>, <span class=cm-variable>outlier_size</span><span class=cm-operator>=</span><span class=cm-number>4</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>1</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_jitter</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'rsquared'</span>), </span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>              <span class=cm-variable>sampling</span><span class=cm-operator>=</span><span class=cm-keyword>None</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#FF00FF'</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.25</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>700</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt 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cx=104.26401948289919 cy=15.89277390452986 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=446.56711421041103 cy=15.77294150276009 r=2.2></circle></g></g></g></g></g><g class=plt-axis><g transform="translate(4 183.5 ) rotate(-90 ) " class=plt-axis-title><text text-anchor=middle dy=0.7em style=fill:#474747>rsquared</text></g></g><g class=plt-axis><g transform="translate(371.065 396 ) " class=plt-axis-title><text text-anchor=middle style=fill:#474747>continent</text></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[19]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:771.8px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># RMSE分布</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>rsquared_df</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_boxplot</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'RMSE'</span>),</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>               <span class=cm-variable>outlier_shape</span><span class=cm-operator>=</span><span class=cm-number>21</span>, <span class=cm-variable>outlier_size</span><span class=cm-operator>=</span><span class=cm-number>4</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>1</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_jitter</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'RMSE'</span>), </span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>              <span class=cm-variable>sampling</span><span class=cm-operator>=</span><span class=cm-keyword>None</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#FF00FF'</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.25</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>700</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt 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stroke-opacity=0 stroke-width=0 cx=229.49185598232071 cy=328.9657201652309 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=223.5159247546814 cy=330.5126379708957 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=348.77387872120147 cy=331.2191030682845 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=318.38536726487246 cy=331.20553737369113 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=70.21332123279095 cy=330.49000659680235 r=2.2></circle><circle fill=#ff00ff stroke=#ff00ff stroke-opacity=0 stroke-width=0 cx=435.57144872411754 cy=330.8527389348511 r=2.2></circle></g></g></g></g></g><g class=plt-axis><g transform="translate(4 183.5 ) rotate(-90 ) " class=plt-axis-title><text text-anchor=middle dy=0.7em style=fill:#474747>RMSE</text></g></g><g class=plt-axis><g transform="translate(366.71000000000004 396 ) " class=plt-axis-title><text text-anchor=middle style=fill:#474747>continent</text></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[20]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.60059px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:771.8px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># p值分布</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>rsquared_df</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_boxplot</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'f_pvalue'</span>),</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>               <span class=cm-variable>outlier_shape</span><span class=cm-operator>=</span><span class=cm-number>21</span>, <span class=cm-variable>outlier_size</span><span class=cm-operator>=</span><span class=cm-number>4</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>1</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#4169E1'</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_jitter</span>(<span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'continent'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'f_pvalue'</span>), </span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>              <span class=cm-variable>sampling</span><span class=cm-operator>=</span><span class=cm-keyword>None</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'#FF00FF'</span>, <span class=cm-variable>show_legend</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>, <span class=cm-variable>width</span><span class=cm-operator>=</span><span class=cm-number>0.25</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>700</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[20]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=9c1QUs><svg shape-rendering=geometricPrecision class=plt-container width=700 height=400><style>.plt-container{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}</style><rect class=plt-backdrop width=100% height=100%></rect><g class=plt-plot><g transform="translate(23 10 ) "><g transform="translate(29.130000000000003 347 ) " class=plt-axis><line x1=95.12096491228071 y1=0 x2=95.12096491228071 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=207.02798245614036 y1=0 x2=207.02798245614036 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=318.93500000000006 y1=0 x2=318.93500000000006 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=430.84201754385975 y1=0 x2=430.84201754385975 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line 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 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[21]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:757.4px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 筛选p值大于等于0.05, 然后根据R方排序</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df</span> <span class=cm-operator>=</span> (<span class=cm-variable>nest1</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>, <span class=cm-string>'data'</span>, <span class=cm-string>'rsquared'</span>, <span class=cm-string>'resid'</span>, <span class=cm-string>'f_pvalue'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                .<span class=cm-property>query</span>(<span class=cm-string>"f_pvalue &gt;= 0.05"</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                .<span class=cm-property>sort_values</span>(<span class=cm-variable>by</span><span class=cm-operator>=</span><span class=cm-string>'rsquared'</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                .<span class=cm-property>reset_index</span>(<span class=cm-variable>drop</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>               )</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df</span></span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[21]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 <th>data</th>
 <th>rsquared</th>
 <th>resid</th>
 <th>f_pvalue</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Africa</td>
 <td>Rwanda</td>
 <td>country continent year lifeExp pop...</td>
 <td>0.017160</td>
 <td>1284 -2.741949
1285 -1.012791
1286 0...</td>
 <td>0.684893</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Africa</td>
 <td>Botswana</td>
 <td>country continent year lifeExp po...</td>
 <td>0.034023</td>
 <td>156 -5.307115
157 -3.614458
158 -2.01580...</td>
 <td>0.566041</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Africa</td>
 <td>Zimbabwe</td>
 <td>country continent year lifeExp ...</td>
 <td>0.056232</td>
 <td>1692 -6.770244
1693 -4.287139
1694 -1...</td>
 <td>0.458029</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Africa</td>
 <td>Zambia</td>
 <td>country continent year lifeExp po...</td>
 <td>0.059836</td>
 <td>1680 -5.620026
1681 -3.278900
1682 -1.03...</td>
 <td>0.443532</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Africa</td>
 <td>Swaziland</td>
 <td>country continent year lifeExp ...</td>
 <td>0.068211</td>
 <td>1452 -4.980859
1453 -3.439233
1454 -2...</td>
 <td>0.412253</td>
 </tr>
 <tr>
 <th>5</th>
 <td>Africa</td>
 <td>Lesotho</td>
 <td>country continent year lifeExp pop...</td>
 <td>0.084856</td>
 <td>876 -5.241026
877 -2.809854
878 -0.58...</td>
 <td>0.358286</td>
 </tr>
 <tr>
 <th>6</th>
 <td>Africa</td>
 <td>Cote d'Ivoire</td>
 <td>country continent year lifeExp ...</td>
 <td>0.283372</td>
 <td>360 -4.368859
361 -3.029642
362 -1.22142...</td>
 <td>0.074804</td>
 </tr>
 <tr>
 <th>7</th>
 <td>Africa</td>
 <td>South Africa</td>
 <td>country continent year lifeExp ...</td>
 <td>0.312469</td>
 <td>1404 -4.332282
1405 -2.202079
1406 -1.08...</td>
 <td>0.058837</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[22]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.60059px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:589.4px;margin-bottom:-16px;border-right-width:34px;min-height:129px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># unnest列表列</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_resids</span> <span class=cm-operator>=</span> (<span class=cm-variable>exception_df</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'data'</span>, <span class=cm-string>'resid'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                    .<span class=cm-property>apply</span>(<span class=cm-keyword>lambda</span> <span class=cm-variable>x</span>: <span class=cm-variable>x</span>[<span class=cm-string>'data'</span>].<span class=cm-property>assign</span>(<span class=cm-variable>resid</span><span class=cm-operator>=</span><span class=cm-variable>x</span>[<span class=cm-string>'resid'</span>]), <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                    .<span class=cm-property>to_list</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                   )</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_resids</span> <span class=cm-operator>=</span> <span class=cm-variable>pd</span>.<span class=cm-property>concat</span>(<span class=cm-variable>exception_resids</span>, <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>0</span>, <span class=cm-variable>ignore_index</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_resids</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:129px"></div><div class=CodeMirror-gutters style=display:none;height:163px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[22]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>country</th>
 <th>continent</th>
 <th>year</th>
 <th>lifeExp</th>
 <th>pop</th>
 <th>gdpPercap</th>
 <th>resid</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>0</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>1952</td>
 <td>40.0</td>
 <td>2534927</td>
 <td>493.323875</td>
 <td>-2.741949</td>
 </tr>
 <tr>
 <th>1</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>1957</td>
 <td>41.5</td>
 <td>2822082</td>
 <td>540.289398</td>
 <td>-1.012791</td>
 </tr>
 <tr>
 <th>2</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>1962</td>
 <td>43.0</td>
 <td>3051242</td>
 <td>597.473073</td>
 <td>0.716366</td>
 </tr>
 <tr>
 <th>3</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>1967</td>
 <td>44.1</td>
 <td>3451079</td>
 <td>510.963714</td>
 <td>2.045523</td>
 </tr>
 <tr>
 <th>4</th>
 <td>Rwanda</td>
 <td>Africa</td>
 <td>1972</td>
 <td>44.6</td>
 <td>3992121</td>
 <td>590.580664</td>
 <td>2.774681</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[23]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:629.4px;margin-bottom:-16px;border-right-width:34px;min-height:95px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 残差绘图</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>exception_resids</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'resid'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>2</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>scale_color_brewer</span>(<span class=cm-variable>palette</span><span class=cm-operator>=</span><span class=cm-string>'Set2'</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>800</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:95px"></div><div class=CodeMirror-gutters style=display:none;height:129px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[23]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=wElzfe><svg shape-rendering=geometricPrecision class=plt-container width=800 height=400><style>.plt-container{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}</style><rect class=plt-backdrop width=100% height=100%></rect><g class=plt-plot><g transform="translate(23 10 ) "><g transform="translate(29.130000000000003 347 ) " class=plt-axis><line x1=7.156425619836227 y1=0 x2=7.156425619836227 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=102.57543388429985 y1=0 x2=102.57543388429985 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=197.99444214875984 y1=0 x2=197.99444214875984 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=293.4134504132235 y1=0 x2=293.4134504132235 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=388.8324586776871 y1=0 x2=388.8324586776871 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=484.2514669421507 y1=0 x2=484.2514669421507 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><g class=tick transform="translate(7.156425619836227 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,950</text></g></g><g class=tick transform="translate(102.57543388429985 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,960</text></g></g><g class=tick transform="translate(197.99444214875984 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,970</text></g></g><g class=tick transform="translate(293.4134504132235 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,980</text></g></g><g class=tick transform="translate(388.8324586776871 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,990</text></g></g><g class=tick transform="translate(484.2514669421507 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>2,000</text></g></g><line x1=0 y1=0 x2=577.285 y2=0 stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1></line></g><g transform="translate(29.130000000000003 0 ) " class=plt-axis><line x1=0 y1=304.9193669990173 x2=577.285 y2=304.9193669990173 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=247.96820473533867 x2=577.285 y2=247.96820473533867 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=191.01704247166003 x2=577.285 y2=191.01704247166003 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=134.06588020798142 x2=577.285 y2=134.06588020798142 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=77.1147179443028 x2=577.285 y2=77.1147179443028 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=20.16355568062417 x2=577.285 y2=20.16355568062417 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><g class=tick transform="translate(0 304.9193669990173 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>-15</text></g></g><g class=tick transform="translate(0 247.96820473533867 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>-10</text></g></g><g class=tick transform="translate(0 191.01704247166003 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>-5</text></g></g><g class=tick transform="translate(0 134.06588020798142 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>0</text></g></g><g class=tick transform="translate(0 77.1147179443028 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>5</text></g></g><g class=tick transform="translate(0 20.16355568062417 ) "><g transform="translate(-3 0 ) "><text style=fill:#474747 text-anchor=end dy=0.35em>10</text></g></g></g><g transform="translate(29.130000000000003 0 ) " clip-path=url(#kszWWt) clip-bounds-jfx="[rect (0, 0), (577.285, 347)]"><defs><clippath id=kszWWt><rect x=0 y=0 width=577.285 height=347></rect></clippath></defs><g><path d="M26.24022727272677 165.29731347890205 L26.24022727272677 165.29731347890205 L73.94973140495858 145.6018093986801 L121.6592355371904 125.90630531845797 L169.3687396694222 110.76689421933013 L217.07824380165403 102.46162259184374 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stroke-opacity=0.5019607843137255></path></g><g><path d="M26.24022727272677 183.41157982289565 L26.24022727272677 183.41157982289565 L73.94973140495858 159.1480747912879 L121.6592355371904 146.38870453694324 L169.3687396694222 133.51543195807122 L217.07824380165403 122.99993749691552 L264.78774793388584 111.77824862369079 L312.49725206611765 91.41020309091866 L360.20675619834947 70.59793849248982 L407.91626033057764 68.2264602350402 L455.62576446280946 96.6769509946934 L503.33526859504127 184.5730649251743 L551.0447727272731 240.06396752762214 " fill=none stroke-width=4 stroke=rgb(179,179,179) stroke-opacity=0.5019607843137255></path></g></g></g><g class=plt-axis><g transform="translate(4 183.5 ) rotate(-90 ) " class=plt-axis-title><text text-anchor=middle dy=0.7em style=fill:#474747>resid</text></g></g><g class=plt-axis><g transform="translate(340.7725 396 ) " class=plt-axis-title><text text-anchor=middle style=fill:#474747>year</text></g></g><g transform="translate(639.415 88 ) " class=plt_legend><rect x=5 y=5 height=214 width=150.585 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(10 10 ) "><g class=legend-title transform="translate(0 -5 ) "><text dy=0.7em style=fill:#171717>country</text></g><g transform="translate(0 15 ) "><g transform><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(102,194,165) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Rwanda</text></g></g><g transform="translate(0 23 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(252,141,98) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Botswana</text></g></g><g transform="translate(0 46 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(141,160,203) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Zimbabwe</text></g></g><g transform="translate(0 69 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(231,138,195) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Zambia</text></g></g><g transform="translate(0 92 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(166,216,84) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Swaziland</text></g></g><g transform="translate(0 115 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(255,217,47) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Lesotho</text></g></g><g transform="translate(0 138 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(229,196,148) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Cote d'Ivoire</text></g></g><g transform="translate(0 161 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(179,179,179) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>South Africa</text></g></g></g></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[24]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:643.8px;margin-bottom:-16px;border-right-width:34px;min-height:95px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 原数据绘图</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>exception_resids</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'lifeExp'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>2</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>scale_color_brewer</span>(<span class=cm-variable>palette</span><span class=cm-operator>=</span><span class=cm-string>'Set2'</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>800</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:95px"></div><div class=CodeMirror-gutters style=display:none;height:129px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[24]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto> <div id=HRSNCJ><svg shape-rendering=geometricPrecision class=plt-container width=800 height=400><style>.plt-container{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}</style><rect class=plt-backdrop width=100% height=100%></rect><g class=plt-plot><g transform="translate(23 10 ) "><g transform="translate(24.51059917355372 347 ) " class=plt-axis><line x1=7.2136909193359315 y1=0 x2=7.2136909193359315 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=103.39623651048169 y1=0 x2=103.39623651048169 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=199.57878210163108 y1=0 x2=199.57878210163108 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=295.76132769278047 y1=0 x2=295.76132769278047 y2=-347 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=391.9438732839262 y1=0 x2=391.9438732839262 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stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,980</text></g></g><g class=tick transform="translate(391.9438732839262 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>1,990</text></g></g><g class=tick transform="translate(488.1264188750756 0 ) "><line stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1 x2=0 y2=4></line><g transform="translate(0 7 ) "><text style=fill:#474747 text-anchor=middle dy=0.7em>2,000</text></g></g><line x1=0 y1=0 x2=581.9044008264462 y2=0 stroke-width=1 stroke=rgb(71,71,71) stroke-opacity=1></line></g><g transform="translate(24.51059917355372 0 ) " class=plt-axis><line x1=0 y1=320.18482667920495 x2=581.9044008264462 y2=320.18482667920495 stroke=rgb(233,233,233) stroke-opacity=1 stroke-width=1></line><line x1=0 y1=280.7756687631885 x2=581.9044008264462 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L411.1803824021554 46.80349821579864 L459.2716551977319 79.33181715967862 L507.36292799330477 165.75610046950277 L555.4542007888776 181.52764546749256 " fill=none stroke-width=4 stroke=rgb(255,217,47) stroke-opacity=0.5019607843137255></path></g><g><path d="M26.450200037565082 198.19771926596758 L26.450200037565082 198.19771926596758 L74.54147283313796 182.49711075222655 L122.63274562871084 163.09992322596327 L170.72401842428735 144.02589079461126 L218.81529121986023 124.70752158417997 L266.9065640154331 104.42756892059793 L314.9978368110096 91.74570190322385 L363.0891096065825 86.4491110793112 L411.1803824021554 107.02857334305503 L459.2716551977319 138.973636749778 L507.36292799330477 148.1086795547106 L555.4542007888776 136.31745950623844 " fill=none stroke-width=4 stroke=rgb(229,196,148) stroke-opacity=0.5019607843137255></path></g><g><path d="M26.450200037565082 162.4772585308902 L26.450200037565082 162.4772585308902 L74.54147283313796 139.02092773927723 L122.63274562871084 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"><text dy=0.7em style=fill:#171717>country</text></g><g transform="translate(0 15 ) "><g transform><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(102,194,165) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Rwanda</text></g></g><g transform="translate(0 23 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(252,141,98) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Botswana</text></g></g><g transform="translate(0 46 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(141,160,203) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Zimbabwe</text></g></g><g transform="translate(0 69 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(231,138,195) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Zambia</text></g></g><g transform="translate(0 92 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(166,216,84) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Swaziland</text></g></g><g transform="translate(0 115 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(255,217,47) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Lesotho</text></g></g><g transform="translate(0 138 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(229,196,148) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>Cote d'Ivoire</text></g></g><g transform="translate(0 161 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(179,179,179) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>South Africa</text></g></g></g></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>全是非洲国家，艾滋病流行或许是影响预期寿命的其中一个因素， 1994年卢旺达(Rwanda)大屠杀也对预期寿命有显著的影响。</p>
</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h2 id=RMSE分析 data-toc-modified-id=RMSE分析-4.3><a class=toc-mod-link id=RMSE分析-4.3></a><span class=toc-item-num>4.3&nbsp;&nbsp;</span>RMSE分析<a class=anchor-link href=#RMSE%E5%88%86%E6%9E%90>¶</a></h2>
<p>亚洲国家的<span class=MathJax_Preview style=color:inherit></span><span class=MathJax id=MathJax-Element-7-Frame tabindex=0 data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math>' role=presentation style=position:relative><nobr aria-hidden=true><span class=math id=MathJax-Span-31 style=width:1.432em;display:inline-block><span style=display:inline-block;position:relative;width:1.193em;height:0px;font-size:120%><span style=position:absolute;clip:rect(1.134em,1001.19em,2.324em,-999.997em);top:-2.14em;left:0em><span class=mrow id=MathJax-Span-32><span class=msubsup id=MathJax-Span-33><span style=display:inline-block;position:relative;width:1.193em;height:0px><span style=position:absolute;clip:rect(3.158em,1000.72em,4.17em,-999.997em);top:-3.985em;left:0em><span class=mi id=MathJax-Span-34 style=font-family:STIXMathJax_Normal-italic>𝑅</span><span style=display:inline-block;width:0px;height:3.991em></span></span><span style=position:absolute;top:-4.342em;left:0.717em><span class=mn id=MathJax-Span-35 style=font-size:70.7%;font-family:STIXMathJax_Main>2</span><span style=display:inline-block;width:0px;height:3.991em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.146em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.068em;border-left:0px solid;width:0px;height:1.146em"></span></span></nobr><span class=MJX_Assistive_MathML role=presentation><math xmlns=http://www.w3.org/1998/Math/MathML><msup><mi>R</mi><mn>2</mn></msup></math></span></span>并不低，但是RMSE较大。</p>
</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[25]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:822.2px;margin-bottom:-16px;border-right-width:34px;min-height:112px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df2</span> <span class=cm-operator>=</span> (<span class=cm-variable>nest1</span>.<span class=cm-property>reindex</span>([<span class=cm-string>'continent'</span>, <span class=cm-string>'country'</span>, <span class=cm-string>'data'</span>, <span class=cm-string>'RMSE'</span>, <span class=cm-string>'rsquared'</span>, <span class=cm-string>'resid'</span>, <span class=cm-string>'f_pvalue'</span>], <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>1</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                 .<span class=cm-property>query</span>(<span class=cm-string>"continent=='Asia'"</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                 .<span class=cm-property>sort_values</span>(<span class=cm-variable>by</span><span class=cm-operator>=</span><span class=cm-string>'RMSE'</span>, <span class=cm-variable>ascending</span><span class=cm-operator>=</span><span class=cm-keyword>False</span>)</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                 .<span class=cm-property>head</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px>                )</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df2</span>.<span class=cm-property>head</span>()</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:112px"></div><div class=CodeMirror-gutters style=display:none;height:146px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output><div class=output_area><div class="run_this_cell sf-hidden"></div><div class="prompt output_prompt"><bdi>Out[25]:</bdi></div><div class="output_subarea output_html rendered_html output_result" dir=auto><div>
<style scoped class=sf-hidden>.dataframe tbody tr th:only-of-type{vertical-align:middle}.dataframe tbody tr th{vertical-align:top}.dataframe thead th{text-align:right}</style>
<table border=1 class=dataframe>
 <thead>
 <tr style=text-align:right>
 <th></th>
 <th>continent</th>
 <th>country</th>
 <th>data</th>
 <th>RMSE</th>
 <th>rsquared</th>
 <th>resid</th>
 <th>f_pvalue</th>
 </tr>
 </thead>
 <tbody>
 <tr>
 <th>80</th>
 <td>Asia</td>
 <td>Cambodia</td>
 <td>country continent year lifeExp p...</td>
 <td>31.698512</td>
 <td>0.638692</td>
 <td>216 2.401577
217 2.371063
218 2.44...</td>
 <td>0.001816</td>
 </tr>
 <tr>
 <th>86</th>
 <td>Asia</td>
 <td>Iraq</td>
 <td>country continent year lifeExp pop...</td>
 <td>16.460033</td>
 <td>0.545784</td>
 <td>732 -4.793462
733 -2.852514
734 -1.00856...</td>
 <td>0.006057</td>
 </tr>
 <tr>
 <th>90</th>
 <td>Asia</td>
 <td>Korea, Dem. Rep.</td>
 <td>country continent year lifeExp...</td>
 <td>15.117915</td>
 <td>0.703063</td>
 <td>828 -4.849603
829 -2.406735
830 -1.41386...</td>
 <td>0.000656</td>
 </tr>
 <tr>
 <th>81</th>
 <td>Asia</td>
 <td>China</td>
 <td>country continent year lifeExp ...</td>
 <td>14.876375</td>
 <td>0.871277</td>
 <td>288 -3.190482
289 0.704904
290 -7.99627...</td>
 <td>0.000009</td>
 </tr>
 <tr>
 <th>96</th>
 <td>Asia</td>
 <td>Myanmar</td>
 <td>country continent year lifeExp p...</td>
 <td>9.198046</td>
 <td>0.879378</td>
 <td>1044 -5.092551
1045 -1.672027
1046 -0.63...</td>
 <td>0.000007</td>
 </tr>
 </tbody>
</table>
</div></div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[26]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.60059px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:480.6px;margin-bottom:-16px;border-right-width:34px;min-height:62px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># unnest列表列</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df2</span><span class=cm-operator>=</span><span class=cm-variable>exception_df2</span>.<span class=cm-property>query</span>(<span class=cm-string>"RMSE &gt;= 10"</span>)[<span class=cm-string>'data'</span>].<span class=cm-property>to_list</span>()</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>exception_df2</span><span class=cm-operator>=</span><span class=cm-variable>pd</span>.<span class=cm-property>concat</span>(<span class=cm-variable>exception_df2</span>, <span class=cm-variable>axis</span><span class=cm-operator>=</span><span class=cm-number>0</span>, <span class=cm-variable>ignore_index</span><span class=cm-operator>=</span><span class=cm-keyword>True</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:62px"></div><div class=CodeMirror-gutters style=display:none;height:96px></div></div></div></div></div></div><div class=output_wrapper><div class="out_prompt_overlay prompt" title=点击滚动输出;双击隐藏></div><div class=output></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell code_cell unselected rendered" tabindex=2><div class=input><div class=prompt_container><div class="prompt input_prompt"><bdi>In</bdi>&nbsp;[27]:</div><div class="run_this_cell sf-hidden" title="Run this cell"></div></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class=input_area aria-label="Edit code here"><div class="CodeMirror cm-s-ipython"><div style=overflow:hidden;position:relative;width:3px;height:0px;top:5.59961px;left:4px><textarea autocorrect=off autocapitalize=off spellcheck=false tabindex=0 style=position:absolute;bottom:-1em;padding:0px;width:1000px;height:1em;outline:none></textarea></div><div class="CodeMirror-vscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-hscrollbar sf-hidden" tabindex=-1 cm-not-content=true></div><div class="CodeMirror-scrollbar-filler sf-hidden" cm-not-content=true></div><div class="CodeMirror-gutter-filler sf-hidden" cm-not-content=true></div><div class=CodeMirror-scroll tabindex=-1><div class=CodeMirror-sizer style=margin-left:0px;min-width:622.2px;margin-bottom:-16px;border-right-width:34px;min-height:95px;padding-right:0px;padding-bottom:0px><div style=position:relative;top:0px><div class=CodeMirror-lines role=presentation><div role=presentation style=position:relative;outline:none><div class=CodeMirror-measure><pre class=CodeMirror-line-like><span>xxxxxxxxxx</span></pre></div><div class=CodeMirror-measure></div><div style=position:relative;z-index:1></div><div class=CodeMirror-cursors><div class=CodeMirror-cursor style=left:4px;top:0px;height:16.8px>&nbsp;</div></div><div class=CodeMirror-code role=presentation><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-comment># 原数据绘图</span></span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-variable>ggplot</span>(<span class=cm-variable>exception_df2</span>, <span class=cm-variable>aes</span>(<span class=cm-variable>x</span><span class=cm-operator>=</span><span class=cm-string>'year'</span>, <span class=cm-variable>y</span><span class=cm-operator>=</span><span class=cm-string>'lifeExp'</span>, <span class=cm-variable>group</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>, <span class=cm-variable>color</span><span class=cm-operator>=</span><span class=cm-string>'country'</span>)) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>geom_line</span>(<span class=cm-variable>alpha</span><span class=cm-operator>=</span><span class=cm-number>0.5</span>, <span class=cm-variable>size</span><span class=cm-operator>=</span><span class=cm-number>2</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>scale_color_brewer</span>(<span class=cm-variable>palette</span><span class=cm-operator>=</span><span class=cm-string>'Set2'</span>) \</span></pre><pre class=CodeMirror-line role=presentation><span role=presentation style=padding-right:0.1px><span class=cm-operator>+</span> <span class=cm-variable>ggsize</span>(<span class=cm-number>800</span>, <span class=cm-number>400</span>)</span></pre></div></div></div></div></div><div style="position:absolute;height:34px;width:1px;border-bottom:0px solid transparent;top:95px"></div><div class=CodeMirror-gutters style=display:none;height:129px></div></div></div></div></div></div><div class=output_wrapper><div 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Rep.</text></g></g><g transform="translate(0 69 ) "><g><rect x=1 y=1 height=21 width=21 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=rgb(255,255,255) fill-opacity=1></rect><g transform="translate(1 1 ) "><g><line x1=0 y1=10.5 x2=21 y2=10.5 stroke=rgb(231,138,195) stroke-opacity=1 fill=rgb(17,142,216) fill-opacity=1 stroke-width=1></line></g></g><rect x=0 y=0 height=23 width=23 stroke-width=1 stroke=rgb(255,255,255) stroke-opacity=1 fill=none></rect></g><g transform="translate(27.355 11.5 ) "><text style=fill:#474747 dy=0.35em>China</text></g></g></g></g></g></g><g><g></g></g></svg></div>
 </div></div></div><div class="btn btn-default output_collapsed" title=点击展开内容 style=display:none>. . .</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p>亚洲RMSE最大的国家是柬埔寨。亚洲波动剧烈是因为发展快，人均寿命提高快，而不是非洲那种跌宕起伏。</p>
</div></div></div><div class="cell text_cell unselected rendered" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><h1 id=斜率与趋势 data-toc-modified-id=斜率与趋势-5><a class=toc-mod-link id=斜率与趋势-5></a><span class=toc-item-num>5&nbsp;&nbsp;</span>斜率与趋势<a class=anchor-link href=#%E6%96%9C%E7%8E%87%E4%B8%8E%E8%B6%8B%E5%8A%BF>¶</a></h1>
<p>  很多时候，我们需要将上升和下降的曲线给分开，比如从一大堆商品销售历史数据中找出销量下降的商品，这时候也需要建模，然后通过拟合曲线的斜率，将上升和下降商品给分离出来(<code>model.params['year']</code>, <code>year</code>为时间变量)。当然只能是一次回归。</p>
</div></div></div><div class="cell text_cell rendered unselected" tabindex=2><div class="prompt input_prompt"></div><div class=inner_cell><div class="ctb_hideshow sf-hidden"></div><div class="input_area sf-hidden" aria-label="Edit Markup Text here"></div><div class="text_cell_render rendered_html" tabindex=-1 dir=ltr><p style=color:blue;font-size:200%;font-weight:bold>参考来源:</p>
<ul>
<li><a href=https://lets-plot.org/pages/api.html target=_blank>lets-plot.org</a></li>
<li><a href=https://www.statsmodels.org/v0.10.1/regression.html target=_blank>statsmodels.org</a></li>
<li><a href=https://bookdown.org/ccolonescu/RPoE4/simplelm.html target=_blank>Model basics</a></li>
<li><a href=https://r4ds.had.co.nz/model-basics.html#visualising-models target=_blank>Chapter 2 The Simple Linear Regression Model</a></li>
<li><a href=https://joblib.readthedocs.io/en/latest/parallel.html target=_blank>joblib.docs</a></li>
<li><a href=https://stackoverflow.com/questions/66493682/glm-residual-in-python-statsmodel target=_blank>GLM Residual in Python statsmodel</a></li>
<li><a href=https://stats.idre.ucla.edu/other/mult-pkg/faq/general/faq-what-are-pseudo-r-squareds/ target=_blank>What are pseudo r-squareds?</a></li>
<li><a href=https://tedboy.github.io/statsmodels_doc/generated/generated/statsmodels.genmod.generalized_linear_model.GLMResults.html target=_blank>statsmodels_doc</a></li>
<li><a href=https://www.statsmodels.org/stable/endog_exog.html target=_blank>statmodels.org</a></li>
</ul>
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